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- Gelfand_representation abstract "In mathematics, the Gelfand representation in functional analysis (named after I. M. Gelfand) has two related meanings: a way of representing commutative Banach algebras as algebras of continuous functions; the fact that for commutative C*-algebras, this representation is an isometric isomorphism.In the former case, one may regard the Gelfand representation as a far-reaching generalization of the Fourier transform of an integrable function. In the latter case, the Gelfand-Naimark representation theorem is one avenue in the development of spectral theory for normal operators, and generalizes the notion of diagonalizing a normal matrix.".
- Gelfand_representation wikiPageID "364372".
- Gelfand_representation wikiPageID "455999".
- Gelfand_representation wikiPageLength "10876".
- Gelfand_representation wikiPageLength "36".
- Gelfand_representation wikiPageOutDegree "1".
- Gelfand_representation wikiPageOutDegree "48".
- Gelfand_representation wikiPageRedirects Gelfand_representation.
- Gelfand_representation wikiPageRevisionID "16303070".
- Gelfand_representation wikiPageRevisionID "705884757".
- Gelfand_representation wikiPageWikiLink *-algebra.
- Gelfand_representation wikiPageWikiLink Adjoint_functors.
- Gelfand_representation wikiPageWikiLink Algebra_homomorphism.
- Gelfand_representation wikiPageWikiLink Algebra_over_a_field.
- Gelfand_representation wikiPageWikiLink Banach_algebra.
- Gelfand_representation wikiPageWikiLink Banach–Alaoglu_theorem.
- Gelfand_representation wikiPageWikiLink C*-algebra.
- Gelfand_representation wikiPageWikiLink Category:Banach_algebras.
- Gelfand_representation wikiPageWikiLink Category:C*-algebras.
- Gelfand_representation wikiPageWikiLink Category:Functional_analysis.
- Gelfand_representation wikiPageWikiLink Commutative_property.
- Gelfand_representation wikiPageWikiLink Compact_space.
- Gelfand_representation wikiPageWikiLink Equivalence_of_categories.
- Gelfand_representation wikiPageWikiLink Fourier_transform.
- Gelfand_representation wikiPageWikiLink Functional_analysis.
- Gelfand_representation wikiPageWikiLink Functor.
- Gelfand_representation wikiPageWikiLink Gelfand_representation.
- Gelfand_representation wikiPageWikiLink Gelfand–Mazur_theorem.
- Gelfand_representation wikiPageWikiLink Gelfand–Naimark_theorem.
- Gelfand_representation wikiPageWikiLink Group_algebra.
- Gelfand_representation wikiPageWikiLink Hausdorff_space.
- Gelfand_representation wikiPageWikiLink Homeomorphism.
- Gelfand_representation wikiPageWikiLink If_and_only_if.
- Gelfand_representation wikiPageWikiLink Israel_Gelfand.
- Gelfand_representation wikiPageWikiLink Jacobson_radical.
- Gelfand_representation wikiPageWikiLink Laplace_transform.
- Gelfand_representation wikiPageWikiLink Locally_compact_space.
- Gelfand_representation wikiPageWikiLink Mathematics.
- Gelfand_representation wikiPageWikiLink Maximal_ideal.
- Gelfand_representation wikiPageWikiLink Metrization_theorem.
- Gelfand_representation wikiPageWikiLink Net_(mathematics).
- Gelfand_representation wikiPageWikiLink Norbert_Wiener.
- Gelfand_representation wikiPageWikiLink Normal_operator.
- Gelfand_representation wikiPageWikiLink Range_(mathematics).
- Gelfand_representation wikiPageWikiLink Semiprimitive_ring.
- Gelfand_representation wikiPageWikiLink Separable_space.
- Gelfand_representation wikiPageWikiLink Spectral_radius.
- Gelfand_representation wikiPageWikiLink Spectral_theory.
- Gelfand_representation wikiPageWikiLink Spectrum_of_a_C*-algebra.
- Gelfand_representation wikiPageWikiLink Topological_space.
- Gelfand_representation wikiPageWikiLink Uniform_norm.
- Gelfand_representation wikiPageWikiLink Vanish_at_infinity.
- Gelfand_representation wikiPageWikiLink Weak_topology.
- Gelfand_representation wikiPageWikiLink William_Arveson.
- Gelfand_representation wikiPageWikiLinkText "Gel'fand-Neimark".
- Gelfand_representation wikiPageWikiLinkText "Gelfand Theorem".
- Gelfand_representation wikiPageWikiLinkText "Gelfand representation".
- Gelfand_representation wikiPageWikiLinkText "Gelfand space".
- Gelfand_representation wikiPageWikiLinkText "Gelfand theorem".
- Gelfand_representation wikiPageWikiLinkText "Gelfand transform".
- Gelfand_representation wikiPageWikiLinkText "Gelfand".
- Gelfand_representation wikiPageWikiLinkText "representation theorem".
- Gelfand_representation wikiPageUsesTemplate Template:Citation_needed.
- Gelfand_representation wikiPageUsesTemplate Template:Cite_book.
- Gelfand_representation wikiPageUsesTemplate Template:Cite_journal.
- Gelfand_representation wikiPageUsesTemplate Template:See_also.
- Gelfand_representation subject Category:Banach_algebras.
- Gelfand_representation subject Category:C*-algebras.
- Gelfand_representation subject Category:Functional_analysis.
- Gelfand_representation hypernym Isomorphism.
- Gelfand_representation type Algebra.
- Gelfand_representation type Function.
- Gelfand_representation type Space.
- Gelfand_representation type Thing.
- Gelfand_representation comment "In mathematics, the Gelfand representation in functional analysis (named after I. M. Gelfand) has two related meanings: a way of representing commutative Banach algebras as algebras of continuous functions; the fact that for commutative C*-algebras, this representation is an isometric isomorphism.In the former case, one may regard the Gelfand representation as a far-reaching generalization of the Fourier transform of an integrable function.".
- Gelfand_representation label "Gel'fand representation".
- Gelfand_representation label "Gelfand representation".
- Gelfand_representation seeAlso Spectrum_of_a_C*-algebra.
- Gelfand_representation sameAs Q1499675.
- Gelfand_representation sameAs Gelfand-Transformation.
- Gelfand_representation sameAs Transformata_Gelfanda.
- Gelfand_representation sameAs m.01_tks.
- Gelfand_representation sameAs Q1499675.
- Gelfand_representation wasDerivedFrom Gelfand_representation?oldid=16303070.
- Gelfand_representation wasDerivedFrom Gelfand_representation?oldid=705884757.
- Gelfand_representation isPrimaryTopicOf Gelfand_representation.